TOPICS
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the gamma function. 
is related to the ordinary Struve
function 
by
 |
(3)
|
(Abramowitz and Stegun 1972, p. 498).
The Struve function 
is implemented in the Wolfram
Language as StruveL[n,
z].
The plots above show 
in the complex plane.
." §12.2 in Handbook
of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, p. 498, 1972.Apelblat, A. "Derivatives and
Integrals with Respect to the Order of the Struve Functions 
and 
." J. Math. Anal. Appl. 137, 17-36,
1999.Cook, R. K. "Some Properties of Struve Functions."
J. Washington Acad. Sci. 47, 365-368, 1957.Horton, C. W.
"On the Extension of Some Lommel Integrals to Struve Functions with an Application
to Acoustic Radiation." J. Math. Phys. 29, 31-37, 1950.Horton,
C. W. "A Short Table of Struve Functions and of Some Integrals Involving
Bessel and Struve Functions." J. Math. Phys. 29, 56-58, 1950.Mathematical
Tables Project. "Table of the Struve Functions 
and 
." J. Math. Phys. 25, 252-259, 1946.Prudnikov,
A. P.; Marichev, O. I.; and Brychkov, Yu. A. "The Struve Functions
and 
."
§1.4 in Integrals
and Series, Vol. 3: More Special Functions. Newark, NJ: Gordon and Breach,
pp. 24-27, 1990.Weisstein, Eric W. "Modified Struve Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ModifiedStruveFunction.html
